(PLEASEEE HELP ASAP!!) The Sugar Sweet Company will choose from two companies to transport Its sugar to market. The first company charges $5743 to rent trucks plus an additional
fee of $225.75 for each ton of sugar. The second company charges $7500 to rent trucks plus an additional fee of $100.25 for each ton of sugar.
sugar do the two companies charge

Q1: For what amount
the same?


Q2: What is the cost when the two companies charge the same?


PLEASEEE HELP ASAP The Sugar Sweet Company will choose from two companies to transport Its sugar to market The first company charges 5743 to rent trucks plus an class=

Respuesta :

Answer:

Q1:14 Q2:8903.5

Step-by-step explanation:

I find that using equations to solve problems makes it a lot easier.

The first company's equation would be y=5743+225.75x because 5743 is the set fee and 225.75 is for each ton of sugar. The second company would be y=7500+100.25x for the same reasons.

So we need to find a value of x that works for each company and a value of y that is the same for the cost.

Now we combine them.

Solve for x:

5743+225.75x=7500+100.25x

-5743                -5743

225.75x= 1757+100.25x

-100.25x           -100.25x

125.50x=1757

/125.5     /125.5

x=14

Therefore, for Q1, the answer is 14.

Now we solve for y by substituting x for 14.

5743+225.75(14)

5743+3160.5

8903.5

We can also check this with the other equation

7500+100.25(14)

7500+1403.5

8903.5

So therefore, the answer to Q2 would be 8903.5.